Free to use. Edit it, share it and hand it out to your students.
Oak National Academy
12 questions
What are the solutions to the quadratic equation x^2-3x-10=0?
What are the approximate solutions to the quadratic equation x^2+2x-5=0 ?
Which value does the iterative formula x_{n+1}=\frac{8}{x_n-2} converge on to 1 significant figure when x_0=5 ?
Using the iterative formula x_{n+1}=\frac{(x_n)^3+1}{2} and x_0=0 , which of these is a solution to x^3-2x+1=0 correct to 2 significant figures?
Between which sets of values is there definitely a solution to x^2-5x-1=0 ?
Which of these are solutions to x^2+2x-6=0 correct to the stated degree of accuracy?
Laura has used the equation x^2+x-12=0 to write the iterative formula x_{n+1}=12-(x_n)^2. If 3 is an exact solution, what should happen when she uses x_0=3?
Which of these could be iterative formulae to find a solution to the equation x^2-5x+4=0?
Which of these could be iterative formulae to find a solution to the equation x^2+2x-6=0?
Using the iterative formula x_{n+1}=\frac{6}{x_n+2} which values of x_0 converge on a solution to the equation x^2+2x-6=0 ?
Which of these iterative formulae converge on the approximate solution x=0.459 to the equation x^2-7x+3=0 when x_0=2?
Using the graph (or otherwise) which values of x_0 will converge on a solution to the equation x^2-7x+3=0 using the iterative formula x_{n+1}=\frac{(x_n)^2+3}{7}?
